1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
VARVARA [1.3K]
3 years ago
13

What is the shape of the cross-section formed when a plane containing line AC and line EH intersects this cube? What is the area

of the cross-section? In two or more complete sentences, explain how you were able to determine the shape and area of the cross-section. Be sure to include the properties of quadrilaterals and the mathematical computations necessary to support your answers

Mathematics
1 answer:
velikii [3]3 years ago
4 0

Answer:

Cross section is a rectangle.

Area of cross section = 16 sqrt(2) = 22.63 sq. units (to 2 decimals)

Step-by-step explanation:

Given a cube.

top face ABCD is parallel and congruent to bottom face EFGH  ........(1)

justified by the properties of cubes

Sides AE and CH are perpendicular to faces ABCD and EFGH ..........(2)

justified by the properties of cubes

Diagonals AC and EH are congruent ......................(3)

justified by (1), congruent top and bottom faces  

Consider cross-section ACHE

AC is congruent and parallel to  EH   (1) & (3)

EA & HC are perpendicular to AC      (2)

Therefore the quadrilateral ACHE is a rectangle.

Length of diagonal AC = sqrt(4^2+4^2) = 4 sqrt(2)  ..........pythagoras theorem

AE = CH = DG = 4      properties of cube, all sides equal

Area of ACHE = 4* 4sqrt(2) = 16 sqrt(2) = 22.63 sq. units

You might be interested in
Ali drove 567 miles in 9 hours. At the same rate, how long would it take him to drive 441 miles?
adell [148]

Answer:

7 hours

Step-by-step explanation:

567/9 = 63

441/63 = 7

It would take him 7 hours to drive 441 miles.

Hope this helps

5 0
3 years ago
Write the equation, show all your work, and circle your answer. ** The
notsponge [240]

Answer:

The length of the triangle is 3x given

The no of sides is 3x 3x 3x so 3x+3x+3x= 180

9x=180 x= 20

3x =3*20=60

3x=3*20=60

3x=3*20=60

3 0
3 years ago
Arun’s restaurant bill is $58, and he wants to leave the waiter an 18 percent tip. What will Arun’s total bill be?
Natalka [10]

Answer:

68.44

Step-by-step explanation:


6 0
3 years ago
Read 2 more answers
PLS ANSWER HELP IF U SEE THIS I GIVE FREE BRAINLY
babunello [35]

Answer:

-7

Step-by-step explanation:

77 ÷ (-11) = -7

5 0
3 years ago
Sorry wrong one!!!!!!!!!!!!!!!!!!!!!!!!!!!!11
kotykmax [81]

Answer: Uhhhhh no question...

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • What are the subsets of the set {7, 8, 9}?
    11·1 answer
  • Line g is on plane s. True or false?
    14·1 answer
  • A circular hedge surrounds a sculpture on a square base. The radius of the hedge is 6x. The side length of the square sculpture
    7·1 answer
  • If a sequence us defined recursively by f(0)= 3 and f (n+1)= -f (n) +5 for n>_ 0 then f (2) is equal to?
    14·1 answer
  • Please help answer this thanks
    15·1 answer
  • Which parametric equations represent (x + 1)2 + (y – 3)2 = 16
    13·2 answers
  • PLEASE HELP THE WORK IS ABOVE
    8·1 answer
  • Right answers will get brainliest!
    6·1 answer
  • In 2010, Haiti was hit by a devastating earthquake, which registered at 7. 0 on the Richter scale. The largest recorded earthqua
    11·1 answer
  • Which statement is not correct?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!